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Wave scattering and diffraction of subsurface cavities in layered half‐space for incident SV‐P and SH waves
Author(s) -
Lin Gao,
Li Zhiyuan,
Li Jianbo
Publication year - 2019
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.3013
Subject(s) - substructure , diffraction , half space , scattering , wave equation , matrix (chemical analysis) , field (mathematics) , boundary value problem , mathematical analysis , mathematics , physics , geometry , optics , engineering , structural engineering , materials science , pure mathematics , composite material
Summary A novel approach is proposed to deal with the problem of wave scattering and diffraction of subsurface cavities embedded in stratified half‐space. The subsurface cavity with complex surroundings is treated as a substructure. The continuity condition at the interface between the substructure and the far field of stratified half‐space is maintained by applying a free‐field approach. As the boundary of the free‐field ground is regular, the construction of the dynamic matrices and the evaluation of the wave input on the interface become considerably easier. Based on the previous work with some improvement, a novel approach for evaluation of Green's functions in stratified half‐space is presented. The wave equation is decoupled into the one for SV‐P wave components and the other one for SH wave component. The precise integration technique ensures high accuracy of the solution of wave equations. The layer merging technique and the dual form equation make it possible to obtain Green's function in closed‐form solution of matrix equations. Numerical examples validate accuracy and efficiency of the proposed approach.